When do you arrive on Nov 8 and when do you depart on Nov 11?

I would rent a car. Maybe keep an eye on the Denali NP website to see how far the road is open. Right now the road is only open to mile 3 due to snow. If it were me, I would definitely not go to Denali if the road is not open at least to Mile 15. But even then I am not sure it is worth the drive there just for that.

I might go to Talkeetna and spend a night or two. You might be able to find a company that will give you a flightseeing tour from there, which is interesting. Nice places to eat there too. There is also a Denali NP ranger station in Talkeetna that you can visit, talk with rangers, see the Heartbeats of Denali film and more.

There are several sleddog kennels between Anchorage and Talkeetna, many of which are in training mode for the Iditarod. Martin Buser's kennel is a popular one, but there are quite a few others. The Iditarod headquarters in Wasilla has some interesting displays and a film.

You could drive south of Anchorage along Turnagain Arm. Snow might be there by then, but you could make multiple stops - Potter Marsh to look for wildlife, Girdwood for a meal, the Wildlife Conservation Center and the scenic pullouts along the road.

Anchorage has quite a bit to offer too, depending on your interests. Museums, perhaps hiking in Glen Alps if not snowy, the Public Lands Information Center and more.